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Fundamentals of Calculus

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Morris, Carla C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2015.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Morris, Carla C. 
245 1 0 |a Fundamentals of Calculus  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2015. 
300 |a 1 online resource (125 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- Title Page -- Copyright -- Table of Contents -- Preface -- Supplements -- Suggestions -- Acknowledgements -- About the Companion Website -- About The Authors -- Chapter 1: Linear Equations and Functions -- 1.1 Solving Linear Equations -- 1.2 Linear Equations and Their Graphs -- 1.3 Factoring and the Quadratic Formula -- 1.4 Functions and their Graphs -- 1.5 Laws of Exponents -- 1.6 Slopes and Relative Change -- Historical Notes -- Chapter 2: The Derivative -- 2.1 Slopes of Curves -- 2.2 Limits -- 2.3 Derivatives -- 2.4 Differentiability and Continuity -- 2.5 Basic Rules of Differentiation -- 2.6 Continued Differentiation -- 2.7 Introduction to Finite Differences -- Historical Notes -- Chapter 3: Using The Derivative -- 3.1 Describing Graphs -- 3.2 First and Second Derivatives -- 3.3 Curve Sketching -- 3.4 Applications of Maxima and Minima -- 3.5 Marginal Analysis -- Chapter 4: Exponential and Logarithmic Functions -- 4.1 Exponential Functions -- 4.2 Logarithmic Functions -- 4.3 Derivatives of Exponential Functions -- 4.4 Derivatives of Natural Logarithms -- 4.5 Models of Exponential Growth and Decay -- 4.6 Applications to Finance -- Historical Notes -- 
505 8 |a Chapter 5: Techniques of Differentiation -- 5.1 Product and Quotient Rules -- 5.2 The Chain Rule and General Power Rule -- 5.3 Implicit Differentiation and Related Rates -- 5.4 Finite Differences and Antidifferences -- Chapter 6: Integral Calculus -- Introduction -- 6.1 Indefinite Integrals -- 6.2 Riemann Sums -- 6.3 Integral Calculus -- The Fundamental Theorem -- 6.4 Area Between Intersecting Curves -- Historical Notes -- Chapter 7: Techniques of Integration -- 7.1 Integration by Substitution -- 7.2 Integration by Parts -- 7.3 Evaluation of Definite Integrals -- 7.4 Partial Fractions -- 7.5 Approximating Sums -- 7.6 Improper Integrals -- Historical Notes -- Chapter 8: Functions of Several Variables -- 8.1 Functions of Several Variables -- 8.2 Partial Derivatives -- 8.3 Second-Order Partial Derivatives -- Maxima and Minima -- 8.4 Method of Least Squares -- 8.5 Lagrange Multipliers -- 8.6 Double Integrals -- Historical Notes -- Chapter 9: Series and Summations -- 9.1 Power Series -- 9.2 Maclaurin and Taylor Polynomials -- 9.3 Taylor and Maclaurin Series -- 9.4 Convergence and Divergence of Series -- 9.5 Arithmetic and Geometric Sums -- Historical Notes -- Chapter 10: Applications to Probability -- 10.1 Discrete and Continuous Random Variables -- 10.2 Mean and Variance -- Expected Value -- 10.3 Normal Probability Density Function -- Historical Notes -- Answers to Odd Numbered Exercises -- Derivatives -- Integrals -- Index -- End User License Agreement 
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830 0 |a New York Academy of Sciences Ser. 
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